Find the area of this figure

A product is now £50, the product was reduced by 20%, what was the original price

olga nikolaevna [1]

the original price is "x", or 100%.

but we know that if we reduce "x" by 20%, namely 100% - 20% = 80%, the 80% of "x" is really £50, what is "x" or the 100% anyway?

$\bf \begin{array}{ccll} amount&\%\\ \cline{1-2} x&100\\ 50&80 \end{array}\implies \cfrac{x}{50}=\cfrac{100}{80}\implies \cfrac{x}{50}=\cfrac{5}{4}\implies 4x=250 \\\\\\ x=\cfrac{250}{4}\implies x=62.5$

3 0

2 years ago

Help pls I attached a picture

seropon [69]

Answer:

x= 7 $\sqrt{2}$

Step-by-step explanation:

It's a 45 45 90 triangle

The legs are = x while the hypotenuse is x $\sqrt{2}$ .

Therefore the answer is 7 $\sqrt{2}$

8 0

2 years ago

Jackson is two times older than Shelly. If the sum of their ages is 18, how old is Jackson?

salantis [7]

Answer: jackson is 12

explanation:
let the age be represented by x
jackson is 2 times older than shelly so
2x is jackson’s age and x is shelly’s age

since the sum of their ages is 18 then:
2x + x = 18

solve:
3x = 18 ➔ divide by 3 on both sides
x = 6

so now we know shelly is 6

jackson is 2 times older than her so:
2(6) = 12

6 0

2 years ago

Read 2 more answers

Identify the axis of symmetry and vertex of f(x) = –2x2 –2x–1.

Leya [2.2K]

<span>Given the quadratic equation: f(x) = -2x^2 - 2x - 1, the axis of symmetry can be obtained by finding the line that divides the function into two congruent or identical halves. Thus, it should pass through the vertex and is equal to the x-coordinate of the vertex. </span>

<span>Note that a quadratic equation in standard form: y = ax^2 + bx + c, has the vertex located at (h,k) where, h = -b/2a and k is determined by evaluating y at h. In this case, a = -2, b = -2, thus, h = -0.5, k = 0.5. Thus, the vertex is located at (-0.5, 0.5) and the axis of symmetry is at x = -0.5. </span>

4 0

3 years ago

Read 2 more answers

If you roll two number cubes ,what is the probability of their sum being 9 or higher?

bija089 [108]

Answer:

5/18

Step-by-step explanation:

When two cubes are rolled there are 36 possibilities

Each dice has 6 equally like outcomes so possibilities are

(1,1) (1,2) (1,3) (1,4) (1,5) (1,6)

(2,1) (2,2) (2,3) (2,4) (2,5) (2,6)

(3,1) (3,2) (3,3) (3,4) (3,5) (3,6)

(4,1) (4,2) (4,3) (4,4) (4,5) (4,6)

(5,1) (5,2) (5,3) (5,4) (5,5) (5,6)

(6,1) (6,2) (6,3) (6,4) (6,5) (6,6)

Now we look at the pair that has sum equal to 9

(3,6) (4,5) (5,4) (6,3) that has sum of 9

Probability of sum is 9 = $\frac{4}{36}$

we look at the pairs that has sum greater than 9

(4,6) (5,5)(5,6) (6,4)(6,5)(6,6)

Probability of sum greater than 9 = $\frac{6}{36}$

Probability of sum 9 or higher = P(sum 9) + P(greater than 9)

= $\frac{4}{36}+\frac{6}{36}= \frac{10}{36}=\frac{5}{18}$

4 0

3 years ago